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Two rods of equal length and diameter have thermal conductivities 3 and 4 units respectively. If they are joined in series, the thermal conductivity of the combination would be
- a)3.43
- b)3.5
- c)3.4
- d)3.34
Correct answer is option 'A'. Can you explain this answer?
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Two rods of equal length and diameter have thermal conductivities 3 an...
Solution:
Given, two rods of equal length and diameter have thermal conductivities 3 and 4 units respectively.
When the two rods are joined in series, the equivalent thermal conductivity of the combination can be calculated as follows:
- Formula: The equivalent thermal conductivity of two materials in series is given by the following formula:
1/K = 1/K1 + 1/K2
where K1 and K2 are the thermal conductivities of the two materials.
- Substitute the given values:
1/K = 1/3 + 1/4
1/K = (4 + 3)/12
1/K = 7/12
K = 12/7
- Therefore, the equivalent thermal conductivity of the combination is 12/7 units.
- Rounding off to two decimal places, we get the answer as 3.43.
Therefore, the correct option is (A) 3.43.
Given, two rods of equal length and diameter have thermal conductivities 3 and 4 units respectively.
When the two rods are joined in series, the equivalent thermal conductivity of the combination can be calculated as follows:
- Formula: The equivalent thermal conductivity of two materials in series is given by the following formula:
1/K = 1/K1 + 1/K2
where K1 and K2 are the thermal conductivities of the two materials.
- Substitute the given values:
1/K = 1/3 + 1/4
1/K = (4 + 3)/12
1/K = 7/12
K = 12/7
- Therefore, the equivalent thermal conductivity of the combination is 12/7 units.
- Rounding off to two decimal places, we get the answer as 3.43.
Therefore, the correct option is (A) 3.43.
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Community Answer
Two rods of equal length and diameter have thermal conductivities 3 an...
2/keff= 1/k1+1/k2 or Keff =2x3x4/3+4= 3.428 approx (3.43)
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Two rods of equal length and diameter have thermal conductivities 3 and 4 units respectively. If they are joined in series, the thermal conductivity of the combination would bea) 3.43 b) 3.5 c) 3.4 d) 3.34 Correct answer is option 'A'. Can you explain this answer?
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